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1005003381 = 32914717853
BaseRepresentation
bin111011111001110…
…010001001110101
32121001002110110110
4323321302021311
54024240102011
6243420413233
733622250004
oct7371621165
92531073413
101005003381
11476330a08
122406a7219
1313029c675
1497690c3b
155d36dba6
hex3be72275

1005003381 has 16 divisors (see below), whose sum is σ = 1387330560. Its totient is φ = 646376640.

The previous prime is 1005003379. The next prime is 1005003401. The reversal of 1005003381 is 1833005001.

It is a happy number.

It is not a de Polignac number, because 1005003381 - 21 = 1005003379 is a prime.

It is a super-2 number, since 2×10050033812 = 2020063591642862322, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005001381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124051 + ... + 131903.

It is an arithmetic number, because the mean of its divisors is an integer number (86708160).

Almost surely, 21005003381 is an apocalyptic number.

It is an amenable number.

1005003381 is a deficient number, since it is larger than the sum of its proper divisors (382327179).

1005003381 is a wasteful number, since it uses less digits than its factorization.

1005003381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9356.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1005003381 is about 31701.7882934070. The cubic root of 1005003381 is about 1001.6650198370.

Adding to 1005003381 its reverse (1833005001), we get a palindrome (2838008382).

The spelling of 1005003381 in words is "one billion, five million, three thousand, three hundred eighty-one".

Divisors: 1 3 29 87 1471 4413 7853 23559 42659 127977 227737 683211 11551763 34655289 335001127 1005003381